A train started from station P and preceded towards

Solution

Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 64 x 45/60 km Distance travelled by train started from station Q = (64 + 100) x t km Total distance between station P and Q = 376 km Now, 64 x (45/60) + (64 + 100) x t = 376 ⇒ 48 + 164t = 376 ⇒ 164t = 376 – 48 = 328 ⇒ t = 328/164 = 2 hours Distance travelled by train starting from station P at all meeting point = 48 + 64 x 2 = 176 km